Advertisement

The Torsionfree Part of the Group of Endotrivial Modules

  • Nadia MazzaEmail author
Chapter
  • 172 Downloads
Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Abstract

We discuss the torsionfree part of the group of endotrivial modules of a finite group G. this rank only depends on the p-subgroup structure of G and on the action of G by conjugation on its noncyclic elementary abelian p-subgroups. So, we make a detour via the category of noncyclic elementary abelian p-subgroups of a finite group. We end the chapter with results about finding “torsionfree” generators, and we present various partial results, including very recent ones.

Copyright information

© The Author(s), under exclusive license to Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsLancaster UniversityLancasterUK

Personalised recommendations